From here on let us restrict specifically to ModMax theories[1]}, which are one-parameter continuous deformations of ordinary linear
electrodynamics in terms of the single positive parameter \(\gamma \ge 0\) . Their action is given in terms of the
Lagrangian density[1]}, [3]}
\({\cal L}_\gamma ({\cal S},{\cal P}) &=& \cosh \gamma \,{\cal S}\,+\,\sinh \gamma \,\sqrt{{\cal S}^2+{\cal P}^2}, \nonumber \\{\cal L}_\gamma (\vec{E},\vec{B})&=& \frac{1}{2}\cosh \gamma \left(\vec{E}^2-\vec{B}^2\right)+\frac{1}{2}\sinh \gamma \,\sqrt{\left(\vec{E}^2-\vec{B}^2\right)^2+4\left(\vec{E}\cdot \vec{B}\right)^2},\) 
